Metric Tensor: Distances and angles in any crystal system

Опубликовано: 20 Август 2026
на канале: Rajesh Prasad lectures on Materials Science
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Metric tensor is a useful tool to calculate distances and angles in any crystal system.

00:00 Introduction
00:45 Dot product in Cartesian system
05:15 Dot product in crystal coordiante system
08:15 Metric Tensor
09:45 Metric tensor for Cartesian coordiante system
11:15 Metric tensor is symmetric
11:55Determinant of metric tensor is the square of the volume of the unit cell
18:20 Metric tensor in terms of lattice parameters
19:40 Metric tensor in hexagonal crystal system